How to resolve the algorithm Kronecker product step by step in the F# programming language

Published on 12 May 2024 09:40 PM
#F_Sharp

How to resolve the algorithm Kronecker product step by step in the F# programming language

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Problem Statement

Implement the   Kronecker product   of two matrices (arbitrary sized) resulting in a block matrix.

Show results for each of the following two samples:

Sample 1 (from Wikipedia): Sample 2:

See implementations and results below in JavaScript and PARI/GP languages.

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Kronecker product step by step in the F# programming language

Source code in the fsharp programming language

// Kronecker product. Nigel Galloway: August 31st., 2023
open MathNet.Numerics
open MathNet.Numerics.LinearAlgebra
let m1,m2,m3,m4=matrix [[1.0;2.0];[3.0;4.0]],matrix [[0.0;5.0];[6.0;7.0]],matrix [[0.0;1.0;0.0];[1.0;1.0;1.0];[0.0;1.0;0.0]],matrix [[1.0;1.0;1.0;1.0];[1.0;0.0;0.0;1.0];[1.0;1.0;1.0;1.0]]
printfn $"{(m1.KroneckerProduct m2).ToMatrixString()}"
printfn $"{(m3.KroneckerProduct m4).ToMatrixString()}"

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